Asked by Fitri Hj Ahmad on Jul 16, 2024

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A cleaning company uses 10 lbs each of chemicals A, B and C for each house it cleans. After some quality complaints, the company has decided to increase its use of chemical A by an additional 10 lbs for each house. By what % has productivity (houses per pound of chemical) fallen?

A) 0%
B) 10%
C) 15%
D) 25%
E) 33%

Productivity

A measure of the efficiency of production, often quantified as the ratio of output produced relative to input used in the production process.

Quality Complaints

Refers to grievances raised by customers regarding the inadequacy or flaws in a product's quality.

  • Comprehend the principle of productivity and methods for its enhancement.
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Verified Answer

RA
Rachida AugustineJul 21, 2024
Final Answer :
D
Explanation :
Let's assume the company initially cleaned one house and used 10 lbs of each chemical, so the productivity was 1 house per pound of chemical.
Now, the company will use 20 lbs of chemical A for one house, which means it will use 10 lbs less of chemicals B and C.
The new productivity will be:
1 house / (20 lbs A + 10 lbs B + 10 lbs C) = 1 house / 40 lbs of chemicals
The old productivity was 1 house / (10 lbs A + 10 lbs B + 10 lbs C) = 1 house / 30 lbs of chemicals.
The percentage change in productivity is:
[(new productivity - old productivity) / old productivity] x 100%
= [(1/40 - 1/30) / (1/30)] x 100%
= 25%
So, the productivity has fallen by 25%. Therefore, the answer is D.